Phys. Rev. Lett. 61, 1336–1339 (1988)Action Principle and Partition Function for the Gravitational Field in Black-Hole TopologiesReceived 6 July 1988; published in the issue dated 19 September 1988 Statistical mechanics of gravitational fields describing the black-hole topological sector, and the correspondence to thermodynamics, are considered. The Euclidean action is evaluated on the constraint hypersurface and a measure is obtained, resulting in a path-integral form of the canonical partition function. We obtain the usual black-hole entropy plus quantum corrections when the temperature and size of the system are appropriate. Under other conditions, we give evidence for the existence of a phase transition (change of topology). © 1988 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.61.1336
DOI:
10.1103/PhysRevLett.61.1336
PACS:
04.60.+n, 05.20.-y, 97.60.Lf
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